The value of the determinant \[\left| \,\begin{matrix} 1 & 1 & 1 \\ b+c & c+a & a+b \\ b+c-a & c+a-b & a+b-c \\ \end{matrix}\, \right|\] is [RPET 1986]

The value of the determinant \[\left| \,\begin{matrix} 1 & 1 & 1�

1.	The value of the determinant \[\left\| \,\begin{matrix} 1 & 1 & 1 \\ b+c & c+a & a+b \\ b+c-a & c+a-b & a+b-c \\ \end{matrix}\, \right\|\] is [RPET 1986]
A.	abc
B.	\[a+b+c\]
C.	\[ab+bc+ca\]
D.	None of these
Answer» E.

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The value of the determinant \[\left| \,\begin{matrix} 1 & 1 & 1 \\ b+c & c+a & a+b \\ b+c-a & c+a-b & a+b-c \\ \end{matrix}\, \right|\] is [RPET 1986]

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